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Finding the Third Proportional to 39,586 and 93,449

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Solution

The third proportional to 39,586 and 93,449 is: 220,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586 : 93,449 = 93,449 : x
  2. Step 2: Convert to fraction form
    39,586/93,449 = 93,449/x
  3. Step 3: Cross multiply
    39,586x = 93,449 × 93,449
  4. Step 4: Simplify right side
    39,586x = 8,732,715,601
  5. Step 5: Solve for x
    x = 8,732,715,601/39,586
  6. Step 6: Final answer
    x = 220,601.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.